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The combinatorics used here is of the same kind as those appearing in the description of (generalized) Springer correspondence for unipotent case of classical groups $G$ by Lusztig in odd characteristic and by Lusztig and Spaltentstein in characteristic 2. It is very nice that this combinatorics gives a unified description for (generalized) Springer correspondences of classical groups in all cases, namely, in $G$"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"0911.1350","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2009-11-06T20:54:07Z","cross_cats_sorted":[],"title_canon_sha256":"12895e12f64f4e59aac0fb11567de10e6e1206970f24b19049d046549cfffe48","abstract_canon_sha256":"48e15f54138afd406c90bc9b5b26dfd726e15d267c3f733c1a8feeb472a7fa3c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:15:05.958982Z","signature_b64":"tBObXrPEAyVJl8ms8TRYXJcHzajUbAm2nv8pra8JCe5VPncdbE1VBmEKXHv97h1J7xpGYwcoIjqbYuY8JCN+Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"22ea0b42fa54294e68c5d216a21b0b63fbf764bb937361d7045a7a59234e1ff8","last_reissued_at":"2026-05-18T00:15:05.958409Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:15:05.958409Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Combinatorics of the Springer correspondence for classical Lie algebras and their duals in characteristic 2","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Ting Xue","submitted_at":"2009-11-06T20:54:07Z","abstract_excerpt":"We give a combinatorial description of the Springer correspondence for classical Lie algebras $\\mathfrak{g}$ of type $B,C$ or $D$ and their duals $\\mathfrak{g}^*$ in characteristic 2. 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